結果

問題 No.386 貪欲な領主
ユーザー koba-e964koba-e964
提出日時 2021-11-09 22:13:48
言語 Rust
(1.77.0 + proconio)
結果
AC  
実行時間 189 ms / 2,000 ms
コード長 4,961 bytes
コンパイル時間 15,640 ms
コンパイル使用メモリ 395,612 KB
実行使用メモリ 59,016 KB
最終ジャッジ日時 2024-11-19 04:14:01
合計ジャッジ時間 17,106 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
6,824 KB
testcase_01 AC 1 ms
6,816 KB
testcase_02 AC 1 ms
6,816 KB
testcase_03 AC 1 ms
6,820 KB
testcase_04 AC 162 ms
59,016 KB
testcase_05 AC 175 ms
32,576 KB
testcase_06 AC 189 ms
32,220 KB
testcase_07 AC 2 ms
6,820 KB
testcase_08 AC 19 ms
6,820 KB
testcase_09 AC 3 ms
6,816 KB
testcase_10 AC 2 ms
6,816 KB
testcase_11 AC 1 ms
6,816 KB
testcase_12 AC 2 ms
6,820 KB
testcase_13 AC 4 ms
6,820 KB
testcase_14 AC 189 ms
32,372 KB
testcase_15 AC 140 ms
53,396 KB
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ソースコード

diff # 

// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    ($($r:tt)*) => {
        let stdin = std::io::stdin();
        let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));
        let mut next = move || -> String{
            bytes.by_ref().map(|r|r.unwrap() as char)
                .skip_while(|c|c.is_whitespace())
                .take_while(|c|!c.is_whitespace())
                .collect()
        };
        input_inner!{next, $($r)*}
    };
}

macro_rules! input_inner {
    ($next:expr) => {};
    ($next:expr,) => {};
    ($next:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($next, $t);
        input_inner!{$next $($r)*}
    };
}

macro_rules! read_value {
    ($next:expr, ( $($t:tt),* )) => { ($(read_value!($next, $t)),*) };
    ($next:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    };
    ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error"));
}

/**
 * Union-Find tree.
 * Verified by https://atcoder.jp/contests/pakencamp-2019-day3/submissions/9253305
 */
struct UnionFind { disj: Vec<usize>, rank: Vec<usize> }

impl UnionFind {
    fn new(n: usize) -> Self {
        let disj = (0..n).collect();
        UnionFind { disj: disj, rank: vec![1; n] }
    }
    fn root(&mut self, x: usize) -> usize {
        if x != self.disj[x] {
            let par = self.disj[x];
            let r = self.root(par);
            self.disj[x] = r;
        }
        self.disj[x]
    }
    fn unite(&mut self, x: usize, y: usize) {
        let mut x = self.root(x);
        let mut y = self.root(y);
        if x == y { return }
        if self.rank[x] > self.rank[y] {
            std::mem::swap(&mut x, &mut y);
        }
        self.disj[x] = y;
        self.rank[y] += self.rank[x];
    }
    #[allow(unused)]
    fn is_same_set(&mut self, x: usize, y: usize) -> bool {
        self.root(x) == self.root(y)
    }
    #[allow(unused)]
    fn size(&mut self, x: usize) -> usize {
        let x = self.root(x);
        self.rank[x]
    }
}

/// Tarjan's offline LCA algorithm.
/// https://github.com/spaghetti-source/algorithm/blob/master/graph/least_common_ancestor_tarjan.cc
/// g should represent a forest and roots should be a list of vertices,
/// each of which is the designated root of exactly one connected component. 
/// qs is a Vec
/// where qs[i] should contain the i-th query (a, b),
/// meaning the LCA of a and b is asked for.
/// This function returns out: Vec<usize>,
/// i-th of which contains the output for qs[i].
/// Depends on: UnionFind.rs
/// Verified by: https://yukicoder.me/submissions/430909
fn offline_lca(
    g: &[Vec<usize>],
    roots: &[usize],
    qs: &[(usize, usize)]
) -> Vec<usize> {
    fn visit(g: &[Vec<usize>], u: usize, w: usize,
             q_map: &[Vec<(usize, usize)>],
             col: &mut [bool], out: &mut [usize],
             anc: &mut [usize], uf: &mut UnionFind) {
        for &v in &g[u] {
            if v == w { continue; }
            visit(g, v, u, q_map, col, out, anc, uf);
            uf.unite(u, v);
            anc[uf.root(u)] = u;
        }
        col[u] = true;
        for &(target, idx) in &q_map[u] {
            if col[target] {
                out[idx] = anc[uf.root(target)]
            }
        }
    }
    let n = g.len();
    let mut uf = UnionFind::new(n);
    let mut col = vec![false; n];
    let mut anc = vec![0; n];
    let mut q_map = vec![vec![]; n];
    let mut out = vec![usize::max_value(); qs.len()];
    for i in 0..qs.len() {
        let (a, b) = qs[i];
        if a != b {
            q_map[a].push((b, i));
            q_map[b].push((a, i));
        } else {
            out[i] = a;
        }
    }
    for &r in roots {
        visit(g, r, n, &q_map, &mut col, &mut out, &mut anc, &mut uf);
    }
    out
}

fn main() {
    // In order to avoid potential stack overflow, spawn a new thread.
    let stack_size = 104_857_600; // 100 MB
    let thd = std::thread::Builder::new().stack_size(stack_size);
    thd.spawn(|| solve()).unwrap().join().unwrap();
}

fn dfs(v: usize, par: usize, g: &[Vec<usize>], c: &[i64], dp: &mut [i64], x: i64) {
    let x = x + c[v];
    dp[v] = x;
    for &w in &g[v] {
        if w == par { continue; }
        dfs(w, v, g, c, dp, x);
    }
}

fn solve() {
    input! {
        n: usize,
        ab: [(usize, usize); n - 1],
        u: [i64; n],
        m: usize,
        abc: [(usize, usize, i64); m],
    }
    let mut g = vec![vec![]; n];
    for &(a, b) in &ab {
        g[a].push(b);
        g[b].push(a);
    }
    let mut ev = vec![];
    for &(a, b, _) in &abc {
        ev.push((a, b));
    }
    let lcas = offline_lca(&g, &[0], &ev);
    let mut dp = vec![0; n];
    dfs(0, n, &g, &u, &mut dp, 0);
    let mut tot = 0;
    for i in 0..m {
        let (a, b, c) = abc[i];
        tot += (dp[a] + dp[b] - 2 * dp[lcas[i]] + u[lcas[i]]) * c;
    }
    println!("{}", tot);
}
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